Finding the Third Proportional to 1,591.17 and 2,314.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.17 : 2,314.55 = 2,314.55 : x
2. Step 2: Convert to fraction form
   1,591.17/2,314.55 = 2,314.55/x
3. Step 3: Cross multiply
   1,591.17x = 2,314.55 × 2,314.55
4. Step 4: Simplify right side
   1,591.17x = 5,357,127.24
5. Step 5: Solve for x
   x = 5,357,127.24/1,591.17
6. Step 6: Final answer
   x = 3,366.78